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Division Algorithm for a Polynomial

If the polyno...

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If the polynomial (x2 + 5x + k) divides 4x4 + 20x3 – 97x2 – 5x + 24 completely, then the value of k must be equal

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Q. Find all zeroes of polynomial

4 x^{4} - 20 x^{3} + 23 x^{2} + 5 x - 6

, if two of its zeroes are

2

3

.

α

β

are roots of the polynomial

f (x) = x^{2} - 5 x + k

α - β = 1

, then value of

k

Q. If the zeroes of the polynomial x²- 5x + k are the reciprocal of each other, then find the value of k

Q. If a polynomial

x^{4} - 5 x^{3} + x^{2} + k x - 12

is exactly divisible by

x^{2} - 5 x + 4

, then find the value of k.

α

β

are the zeros of the quadratic polynomial

x^{2} + 5 x - k

α - β = 1

, then find the value of

k

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